Question

In an examination 40% students passed in maths only 30% passed in maths only 30% passed in science only 10% students failed in both the subjects. If 400 students passed in science find the total number of students by drawing a venn-diagram​

Answer 1

Dear Student,

★ Step-by-step explanation:

➼ Suppose no of students Students = 100  

➼ No of STUDENTS passed in mathematics = 40 ( a)  

➼ No of STUDENTS passed in science = 30 (b)  

➼ No of STUDENTS remaining = 100 - (a+b)  

                                                  = 100 - (40+30)

                                                  = 30  

➼ No of STUDENTS failed in both subjects = 10( c)  

➼ Hence no of students remaining= 30-(c)  

                                                          = 30-10

                                                          =20  

➼ No of students passed In both subjects =20  

➼ No of STUDENTS passed in mathematics =40+20 =60  

➼ Percentage of students passed In both subjects =20 percent  

➼ Percentage of students who passed In MATHEMATICS =60 percent

This problem can be solved Using Venn diagrams